scholarly journals Note on separable extensions of noncommutative rings

1989 ◽  
Vol 18 (2) ◽  
pp. 211-215
Author(s):  
Kozo SUGANO
Keyword(s):  
Noncommutative Rings ◽  
Separable Extensions

scholarly journals Separable extensions of noncommutative rings

1984 ◽  
Vol 13 (1) ◽  
pp. 74-88 ◽  
Author(s):  
Elizabeth MCMAHON ◽  
A. C. MEWBORN
Keyword(s):  
Noncommutative Rings ◽  
Separable Extensions

Examples of theories of presheaf type

2018 ◽  
Author(s):  
Olivia Caramello
Keyword(s):  
Finite Groups ◽  
Linear Independence ◽  
Geometric Theory ◽  
Vector Spaces ◽  
Linear Orders ◽  
Locally Finite ◽  
Strong Unit ◽  
Locally Finite Groups ◽  
Simplicial Sets ◽  
Separable Extensions

This chapter discusses several classical as well as new examples of theories of presheaf type from the perspective of the theory developed in the previous chapters. The known examples of theories of presheaf type that are revisited in the course of the chapter include the theory of intervals (classified by the topos of simplicial sets), the theory of linear orders, the theory of Diers fields, the theory of abstract circles (classified by the topos of cyclic sets) and the geometric theory of finite sets. The new examples include the theory of algebraic (or separable) extensions of a given field, the theory of locally finite groups, the theory of vector spaces with linear independence predicates and the theory of lattice-ordered abelian groups with strong unit.

scholarly journals FINITE GROUPS AS GALOIS GROUPS OF FUNCTION FIELDS WITH INFINITE FIELD OF CONSTANTS

2010 ◽  
Vol 88 (3) ◽  
pp. 301-312
Author(s):  
C. ÁLVAREZ-GARCÍA ◽  
G. VILLA-SALVADOR
Keyword(s):  
Finite Groups ◽  
Function Field ◽  
Function Fields ◽  
Galois Groups ◽  
Infinite Field ◽  
Separable Extension ◽  
Separable Extensions

AbstractLetE/kbe a function field over an infinite field of constants. Assume thatE/k(x) is a separable extension of degree greater than one such that there exists a place of degree one ofk(x) ramified inE. LetK/kbe a function field. We prove that there exist infinitely many nonisomorphic separable extensionsL/Ksuch that [L:K]=[E:k(x)] andAutkL=AutKL≅Autk(x)E.

scholarly journals HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS

2001 ◽  
Vol 29 (1) ◽  
pp. 193-200 ◽  
Author(s):  
Jaka Cimprič
Keyword(s):  
Noncommutative Rings

scholarly journals The Cohen Macaulay Property for Noncommutative Rings

2017 ◽  
Vol 20 (6) ◽  
pp. 1433-1465 ◽  
Author(s):  
Ken A. Brown ◽  
Marjory J. Macleod
Keyword(s):  
Noncommutative Rings

scholarly journals On H-separable extensions of QF-3 rings

2003 ◽  
Vol 32 (2) ◽  
pp. 335-344
Author(s):  
Kozo SUGANO
Keyword(s):  
Separable Extensions
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